Find the LCM of 72, 25, 30, 96, 709 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 72, 25, 30, 96, 709. So, keep reading to learn more.
Given numbers are 72,25,30,96,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 72,25,30,96,709 is 5104800.
Find LCM of 72,25,30,96,709 with Prime Factorization
2 | 72, 25, 30, 96, 709 |
2 | 36, 25, 15, 48, 709 |
2 | 18, 25, 15, 24, 709 |
3 | 9, 25, 15, 12, 709 |
5 | 3, 25, 5, 4, 709 |
3, 1, 5, 4, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 3 x 1 x 5 x 4 x 709 = 5104800
Therefore, the lowest common multiple of 72,25,30,96,709 is 5104800.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
72 x 25 x 30 x 96 x 709 = 3675456000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
25 : 1, 5, 25
30 : 1, 2, 3, 5, 6, 10, 15, 30
96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 72,25,30,96,709, is 1.
Now, the common factors can be found like this.
72:2x 2x 2x 3x 3
25:5x 5
30:2x 3x 5
96:2x 2x 2x 2x 2x 3
709:709
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 3675456000/(1x720)
LCM = 3675456000/720
LCM = 5104800
Thus, we can understand that the LCM of 72,25,30,96,709 is 5104800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 72, 25, 30, 96, 709?
Answer: LCM of 72, 25, 30, 96, 709 is 5104800.
2. How to calculate the LCM of 72, 25, 30, 96, 709?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 72, 25, 30, 96, 709.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.